4242332400 has 60 divisors (see below), whose sum is σ = 13589608632. Its totient is φ = 1131288320.

The previous prime is 4242332383. The next prime is 4242332441. The reversal of 4242332400 is 42332424.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1766439 + ... + 1768838.

Almost surely, 2^4242332400 is an apocalyptic number.

4242332400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4242332400 is an abundant number, since it is smaller than the sum of its proper divisors (9347276232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4242332400 is a wasteful number, since it uses less digits than its factorization.

4242332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3535298 (or 3535287 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 4242332400 is about 65133.1896961910. The cubic root of 4242332400 is about 1618.8311947268.

Adding to 4242332400 its sum of digits (24), we get a palindrome (4242332424).

Adding to 4242332400 its reverse (42332424), we get a palindrome (4284664824).

The spelling of 4242332400 in words is "four billion, two hundred forty-two million, three hundred thirty-two thousand, four hundred".